Why is the exponent in the low bits, since it forces unnecessary shifts for integer operations?
On Thu., 3 Jan. 2019, 03:34 Pavlos Christoforou <pav...@p9ft.com wrote: > Happy new year all, > > Have not followed the full thread, in case it has not been mentioned > already: > > http://dec64.com/ > > > Cheers > > > On Tue, 18 Dec 2018 at 02:42, Keith Medcalf <kmedc...@dessus.com> wrote: > > > >This thread is getting out of hand. Firstly there is no such binary > > >representation ( in this universe ) for a trivial decimal number such > > >as one tenth ( 0.10 ) and really folks should refer to the text book > > >recently published ( 2nd Edition actually ) where all this is covered > > >: > > > Handbook of Floating-Point Arithmetic > > > Authors: Muller, J.-M., Brunie, N., de Dinechin, F., > > > Jeannerod, C.-P., Joldes, M., Lefèvre, V., > > > Melquiond, G., Revol, N., Torres, S. > > > > > > This handbook is a definitive guide to the effective use of > > > modern floating-point arithmetic, which has considerably > > > evolved, from the frequently inconsistent floating-point number > > > systems of early computing to the recent IEEE 754-2008 standard. > > > > > > > https://doc.lagout.org/science/0_Computer%20Science/3_Theory/Handbook%20of%20Floating%20Point%20Arithmetic.pdf > > > > While it is true there is no exact representation of 1/10th in binary > > floating point, at double precision the epsilon is 1.3877787807814457e-17 > > which means that for all intents and purposes 1/10th is exact to 16.9 > > decimal places. Which is pretty damn good for a format that is only > > purported to be accurate to 15 decimal digits. > > > > --- > > The fact that there's a Highway to Hell but only a Stairway to Heaven > says > > a lot about anticipated traffic volume. > > > > > > > > > > _______________________________________________ > > sqlite-users mailing list > > sqlite-users@mailinglists.sqlite.org > > http://mailinglists.sqlite.org/cgi-bin/mailman/listinfo/sqlite-users > > > > > -- > Pavlos Christoforou > > Point Nine Limited > Mobile: +357 99 160960 > > pavlos.christofo...@p9ft.com > _______________________________________________ > sqlite-users mailing list > sqlite-users@mailinglists.sqlite.org > http://mailinglists.sqlite.org/cgi-bin/mailman/listinfo/sqlite-users > _______________________________________________ sqlite-users mailing list sqlite-users@mailinglists.sqlite.org http://mailinglists.sqlite.org/cgi-bin/mailman/listinfo/sqlite-users
